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Finding the Fourth Proportional to 689.68, 951.42 and 427.84

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Solution

The fourth proportional to 689.68, 951.42 and 427.84 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.68 : 951.42 = 427.84 : x
  2. Step 2: Convert to fraction form
    689.68/951.42 = 427.84/x
  3. Step 3: Cross multiply
    689.68x = 951.42 × 427.84
  4. Step 4: Simplify right side
    689.68x = 407,055.53
  5. Step 5: Solve for x
    x = 407,055.53/689.68
  6. Step 6: Final answer
    x = 590.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.